Solution of the asymmetric double sine-Gordon equation

Details Solution of the asymmetric double sine-Gordon equation Solution of the asymmetric double sine-Gordon equation

2009-09-10

arxiv.org/abs/0909.1872v1

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages, 10 figures

Scientific paper

We present solutions of asymmetric double sine-Gordon equation (DSGE) of an infinite system based on Mobius transformation and numerical exercise. This method is able to give the forms of the solutions for all the region on the \phi-\eta parameter plane where \phi is an additional phase and \eta is the ratio of the magnitudes of two sine terms. We are able to show how the deconfinement occurs near \phi=(1/2+n)\pi and \phi=n pi. and also find the solution for all values of \phi. We predict different kind of solutions and transitions among them in different parts of the parameter space of this equation.

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